Answer:
1372 mL
Step-by-step explanation:
You want the number of mL of water a bottle of height 21 cm can hold if it is similar to a 500 mL bottle of height 15 cm.
Volume ratio
The ratio of volumes of similar figures is the cube of the ratio of their linear dimensions. The volume ratio will be ...
larger : smaller = (21 cm : 15 cm)³ = (7 : 5)³ = 2.744
The volume of the larger bottle is ...
2.744 · 500 mL = 1372 mL
The larger bottle can hold 1372 mL of water.
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